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kogti [31]
2 years ago
6

If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce

ntage.
Mathematics
2 answers:
RUDIKE [14]2 years ago
8 0

Answer:

16%

Step-by-step explanation:

A boat depreciates in value according to the simple interest formula:

Y=20,000*(0.92)^{2} = 16,928

From the above exponential function, we can see that:

The boat depreciates with the base number is: 0.92 and the initial value is 20,000 at the beginning,

So  the rate of decay which can be written as a percentage:  

1 -  The value after 2 units of time / the initial value

= 1- (16,928 / 20,000)

= 1  - 0.84

= 0.16

= 0.16*100% = 16%

zhenek [66]2 years ago
5 0

Answer:

$28,000

Step-by-step explanation:

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3 years ago
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aleksandr82 [10.1K]

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

6 0
3 years ago
Which vocabulary word best describes the math sentence you see here?
nlexa [21]

Answer:

Expression

Step-by-step explanation:

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7 0
2 years ago
Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(–2, 0);
UNO [17]
The line is called the directrix.  Here we have a vertical directrix, so a parabola sideways from usual.

Geometry is best done with squared distances.  The squared distance from an arbitrary point (x,y) to the vertical line x=2 is (x-2)^2.

We equate that to the squared distance of (x,y) to the focus (-2,0): 

(x-2)^2 = (x - -2)^2 + (y - 0)^2

x^2 -4x + 4=x^2 +4x +4 + y^2

-8x = y^2

We could call that done.  A more standard form might be

x =- \dfrac 1 8 \ y^2

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3 years ago
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tino4ka555 [31]

Answer:

D.   (27x^6y^9) / x^9.

Step-by-step explanation:

(3x^2y^3 / z^3 )^3

=  3^3 x^(2*3)y(3*3) / z^(3^3)

= 27 x^6y^9 / x^9.

4 0
3 years ago
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